Trying to update to 7.0.3 getting an "error 3004".

Errors 3000-3999 (3004, 3013, 3018, 3164, 3194, and so on): Error codes in the 3000 range generally mean that iTunes can't contact the update server (gs.apple.com) on ports 80 or 443.

1. Update to the latest version of iTunes.
2. Verify the computer's date and time are accurate.
3. Check that your security or firewall software isn't interfering with ports 80 or 443 or with the server gs.apple.com.
4. Follow these steps to troubleshoot security software. Often, uninstalling third-party security software will resolve these errors.
5. An entry in your hosts file may be redirecting requests to gs.apple.com (go to "Unable to contact the iOS software update server gs.apple.com" above).
6. Internet proxy settings can cause this issue. If you're using a proxy, try again without using a proxy.
7. Test restoring while connected to a known-good network.

The above comes from here:

http://support.apple.com/kb/TS3694#error3004

10 Days have problems with itunes 11.1.3

Error 3014 3004 14

Not possible restore normaly ios 7.0.3 7.0.4 anD 7.1